Q6. The defective rate of certain product is 40%. To reduce the defective rate, the factory...

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Q6. The defective rate of certain product is 40%. To reduce the defective rate, the factory adopts some adjustment. To determine whether such adjustment makes improvement, they are going to conduct the following test Ho p = 0.4 vs H: p < 0.4, where p is the defective rate. Suppose that they have inspected 20 products, and y is the number of defective products. Let C = {y: y 1} be the critical region. (a) Specify the power function K(p). (b) Determine the size of this critical region. Q6. The defective rate of certain product is 40%. To reduce the defective rate, the factory adopts some adjustment. To determine whether such adjustment makes improvement, they are going to conduct the following test Ho p = 0.4 vs H: p < 0.4, where p is the defective rate. Suppose that they have inspected 20 products, and y is the number of defective products. Let C = {y: y 1} be the critical region. (a) Specify the power function K(p). (b) Determine the size of this critical region.